Tests of Low-Scale Leptogenesis in Charged Lepton Flavour Violation Experiments

Abstract

We consider low-energy tests of low-scale leptogenesis based on the type I seesaw scenario with three right-handed singlet neutrinos ${\nu }_{lR}$. In this scenario, successful leptogenesis is possible for quasi-degenerate in mass heavy Majorana neutrinos $N_{1,2,3}$, $M_{1,2,3}\cong M$, $|M_j-M_i|\ll M$, $i\ne j=1,2,3$, heavy Majorana neutrino masses $M\sim (0.05-5\times 10^5)$ GeV, and $N_j$ charged current and neutral current weak interaction couplings as large as $\mathcal{O}(10^{-2})$. We derive the constraints on the corresponding leptogenesis parameter space from the existing data from low-energy experiments, including the limits from the experiments on $\mu \to e\gamma$ decay and on the rate of $\mu -e$ conversion in gold. We show also that the planned and upcoming experiments on charged lepton flavour violation with ${\mu }^{\pm }$, MEG II on the $\mu \to e\gamma$ decay, Mu3e on $\mu \to eee$ decay, Mu2e and COMET on $\mu -e$ conversion in aluminium and PRISM/PRIME on $\mu -e$ conversion in titanium, can probe significant region of the viable leptogenesis parameter space, and thus have a potential for a discovery. Experiments on $\tau \to eee(\mu \mu \mu )$ and $\tau \to e(\mu )\gamma$ decays (e.g., BELLE II) also can probe a part of the leptogenesis parameter space, although a relatively small one.

arXiv comment17 pages, 1 table, 4 figures; matches the version published in Phys. Lett. B

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